FRACTURE MODELS AS -LIMITS OF DAMAGE MODELS
Gianni Dal Maso, Flaviana Iurlano · 2013
We analyze the asymptotic behavior of a variational model for damaged elastic materials. This model depends on two small parameters, which govern the width of the damaged regions and the minimum elasticity constant attained in the damaged regions. When these parameters tend to zero, we nd that the corresponding functionals -converge to a functional related to frac- ture mechanics. The corresponding problem is brittle or cohesive, depending on the asymptotic ratio of the two parameters. 1. Introduction. In damage models for linearly elastic materials the elasticity tensor depends continuously and monotonically on an internal variable v. This is a function dened